Large deviation theory exercise

Question

I would appreciate some hints on this problem: a die is thrown ten times, use large deviation function of a Bernoulli distribution to give an estimate of the probability that the sum is 27. First it seems to me this is not a sequence of Bernoulli variables and second assuming it is how to scale the mean to be between 0 and 1?

Is that a verbatim statement of the question? – cardinal Oct 13 '12 at 18:39 — cardinal, Oct 13 '12 at 18:39

score 0 · Answer 1 · answered Oct 14 '12 at 20:17

0

I think I got it: an estimation can be thought as replacing the sum of 10 independent variables by a single Bernoulli variable and scale appropriately the approximation given by the large deviation function.

answered Oct 14 '12 at 20:17

citrucel

47
1

4

For this to be an answer, you'd have to explain how this works. It's not immediately clear that it does. – Glen_b Oct 10 '13 at 08:54

Large deviation theory exercise

1 Answers1

Linked